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Finding the Fourth Proportional to 565.90, 780.63 and 359.02

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Solution

The fourth proportional to 565.90, 780.63 and 359.02 is: 495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 780.63 = 359.02 : x
  2. Step 2: Convert to fraction form
    565.90/780.63 = 359.02/x
  3. Step 3: Cross multiply
    565.90x = 780.63 × 359.02
  4. Step 4: Simplify right side
    565.90x = 280,261.78
  5. Step 5: Solve for x
    x = 280,261.78/565.90
  6. Step 6: Final answer
    x = 495.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.